Modeling And Differential Geometry Flux Decoupled Control Of Planar Integrating Magnetic VRM

Planar integrating magnetic Voltage Regulator Module (VRM) is a special, flux coupled, switching nonlinear power electronic converter. Since the application of coupled integrating magnetic techniques, circuit characteristics analysis, modeling and control have become the focus and difficulty of VRM research. The study of a novel modeling method and a modern control theory will have significant meaning and practical value in getting high power density and high performance of planar integrating magnetic VRM.The thesis will study the topic in three aspects: 1. The modeling and optimum design of planar integrating magnetics. 2. The modeling and characteristic analysis of planar integrating magnetic VRM. 3. The differential geometry flux coupled control of planar integrating magnetic VRM.Below are the details:a. To analyze the theory and characteristics of multiphase integrating magnetics equivalent models, which include impedance equivalent model, comparison model and gyrator analogy model. According to magnetic-electrical comparison model and gyrator-capacitor analogy model, two-phase integrating magnetic models are founded, and the AC and DC flux distributions of two-phase direct coupled and inverse coupled integrating magnetics are studied. Thus the corresponding multiphase integrating magnetics model are deduced by the modeling method of two-phase integrating magnetics. The study provides an optimal design and calculation on integrating magnetics.b. The operation mode of non-isolated two-phase planar integrating magnetic VRM is studied by using the impedance equivalent model, and it proves that inverse coupled integrating magnetics can improve the steady state performance of converter. More importantly, the affine nonlinear system models of two-phase and multiphase planar integrating magnetic VRM can be obtained by applying impulse mode integral method with or without parasitic parameters. The thesis also studies the isolated planar integrating magnetic VRM and indicates that the flux analysis and modeling method of non-isolated planar integrating magnetic VRM can be used in the design of isolated planar integrating magnetic VRM as well.c. Based on the affine nonlinear system model of planar integrating magnetic VRM, the thesis proposes a dynamic flux decoupled control strategy for two-phase integrating magnetic VRM. Through nonlinear coordinate transformation, the nonlinear system can achieve state variable feedback exact linearization. Therefore, the optimal quadratic control theory of linear can be used to design the obtained linear system in order to realize high performance of current dynamic sharing on each phase and output voltage track. The study focuses on two-phase integrating magnetic VRM, but the research methods can also extend to the design of multiphase integrating magnetic VRM.d. The thesis verifies the modeling method and differential geometry nonlinear control of planar integrating magnetic VRM based on the results of integrating magnetic design, simulation and experiment. It shows that the proposed inverse coupled integrating magnetic VRM can improve the steady state performance, and the differential geometry nonlinear flux decoupled control is superior to the classic PID control method on dynamic response performance. The experimental results prove that the proposed theory is correct. The research can improve the characteristic analysis, modeling method and control techniques on VRM, and will have significant meaning on its practical application in the future.